Pith Number

pith:NUULCKCK

pith:2011:NUULCKCKAJQTSHID5MBRQHZXCX

not attested not anchored not stored refs pending

Mapping properties of the heat operator on edge manifolds

Boris Vertman, Emily B. Dryden, Eric Bahuaud

arxiv:1105.5119 v2 · 2011-05-25 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUULCKCKAJQTSHID5MBRQHZXCX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:51:48.882935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d28b1284a0261391d03eb03181f3715dc2f6c92440629ad094cf19052f4b1d7

Aliases

arxiv: 1105.5119 · arxiv_version: 1105.5119v2 · doi: 10.48550/arxiv.1105.5119 · pith_short_12: NUULCKCKAJQT · pith_short_16: NUULCKCKAJQTSHID · pith_short_8: NUULCKCK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NUULCKCKAJQTSHID5MBRQHZXCX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6d28b1284a0261391d03eb03181f3715dc2f6c92440629ad094cf19052f4b1d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f593e5287a6f51ac8e7b65374fbee1ae15b8817ce3ab6f502a0bce5180a0b5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-25T19:16:11Z",
    "title_canon_sha256": "3c01c3c083642de6181121874b25326c5ce0f4d9c5bee4e03430cbfddf863d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5119",
    "kind": "arxiv",
    "version": 2
  }
}